Cremona's table of elliptic curves

84 = 2² · 3 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+	Signs for the Atkin-Lehner involutions
Conductor	84	Conductor
Count	2	Number of curves in isogeny class
Curves	84b1 84b2	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	2- 3+  4 7+  2 -6 -4 -4	Hecke eigenvalues for primes less than 20
L	0.97246197526711	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	336f 1344i 252b 2100n	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 84b

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	4	+	2	-6	-4	-4	2	-2	0	2	0	-4	12	-6	-8	6	-8	14	-2	12	-4	0	-2

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Quadratic twists for isogeny class 84b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
336f	1344i	252b	2100n	588f	10164o	14196f	24276m	30324i	44436h	70644i	80724p	114996e

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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